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Summary MATH0050 Methods Template UCL

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A solutions template for the different types of questions in the MATH0050 Logic syllabus, taught by Isidoros Strouthos. This outlines all the steps required to get to the solutions, and is sufficient for full marks in exams and courseworks. Final mark: 93%

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Institution
University College London (UCL)
Course
MATH0050 - Logic (MATH0050)

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Chapter 1 - Language




them
add
caput

,
, IWEIGHT IDEGREE




IFORMULA I reformat
Aformulaissuchthat

A1 ifPis a ncrypredicatesymbol andn un arevariablesymbols Phi un is aformula
As if a is aformula ha isalsoaformula
As if a is areformulae ap isalsoaformula
At if u is a variablesymboland a is aformula Una isalsoaformula

4

Py Quy Pa areformulaeaccordingto A1
tiPyis aformulaaccording to A2

Since
tyPyis aformula styPyis aformula
Puis aformula 7 Pa is aformula

sinceQuyand Puareformulae Quy Pa is aformula
Howeverthereisnorulewhen isfollowedbyoneformulaonly
ie Quy7I
7thPy Quy Puisnotaformula




Py Quy Pa Qynareformulaeaccordingto A1
HPyis aformulaaccording to A4
7Quyis aformulaaccording to A2


Quytypy is aformulaaccording to A3
Pu Quytypy is aformulaaccording to A3
tu Pu QuytypyOyu is aformulaaccording to A3


i tu Pu QuytypyOyu is aformula
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Institution
University College London (UCL)
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Unknown
Course
MATH0050 - Logic (MATH0050)
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Document information

Uploaded on
June 13, 2023
Number of pages
29
Written in
2022/2023
Type
SUMMARY

Subjects

  • logic
  • modus ponens
  • induction
  • proof
  • posets
  • theory
  • tautology
  • implication
  • deduction theorem
  • consistency
  • completeness theorem
  • graphs
  • groups
  • peano arithmetic
  • computability
  • recursive
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